Thursday, January 17, 2013

1301.3544 (Muneto Nitta et al.)

On Non-Abelian Quasi-Gapless Modes Localized on Mass Vortices in
Superfluid 3He-B

Muneto Nitta, Mikhail Shifman, Walter Vinci
Kelvin waves or Kelvons have been known for a long time as gapless excitations propagating along superfluid vortices. These modes can be interpreted as the Nambu-Goldstone excitations arising from the spontaneous breaking of the translational symmetry. Recently a different type of gapless excitations localized on strings -- the so-called non-Abelian modes -- attracted much attention in high-energy physics. We discuss their relevance in condensed matter physics. Although we failed to find exactly gapless non-Abelian modes, non-Abelian rotational quasi-gapless excitations are argued to exist on the mass vortices in the B phase of the superfluid 3He, due to the fact that the order parameter in 3He-B is tensorial. While the U(1) rotational excitations are well established in vortices with asymmetric cores, the non-Abelian rotational excitations, belonging to the same family, were not considered. In the general case they are coupled with the translational modes.
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